Express each percent as a fraction in simplest form.
a. 85%
b. 5 72%
c. 12.55%
Answer:
(a) 17/20 b.5/18/25 c. 1.255
see if you can answer this
A chemist weighs samples obtained from a production run. The weights of the samples are 13 g, 14 g, 23 g, 11 g, 15 g, 14 g, 14 g, 12 g, 13 g, 15 g, 14 g, and 12 g. Are there any outliers?
The outlier of the data is 14.16 gram
What is Outlier?An outlier is a data point in statistics that dramatically deviates from other observations. An outlier may reflect measurement variability or it may point to an experimental error; the latter is occasionally removed from the data set. In statistical analyses, an outlier can result in significant issues.
Given:
Weights of the samples are 13 g, 14 g, 23 g, 11 g, 15 g, 14 g, 14 g, 12 g, 13 g, 15 g, 14 g, and 12 g.
So, the outlier is
= 13 x 2 + 14 x 4 + 12 x 2 + 11 + 15 x 2+ 13 / 12
= 170 gram /12
= 14.16 gram.
Hence, the outlier of the data is 14.16 gram
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Which angles below are equal to ∠CDB?
Answer:
(x) ∠CAB
Step-by-step explanation:
In ΔCOD and ΔBOA
\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)
Also,
∠COD = ∠BOA (vertically opposite angles)
⇒ ΔCOD and ΔBOA are similar
⇒ ∠CDO = ∠BAO
⇒ ∠CDB = ∠BAC
⇒ ∠CDB = ∠CAB
PLEASEEEE I NEED HELP, 8TH GRADE MATH
Answer:
(6, ....... ) ( -3, .........) ( 1, .......)
x,y values therefore = (6, 29) ( -3, -34) (1, -6)
as x = 0 when y = -13
we simply x 6 into equation to find 30
y = 7 x 6 -13
y = 42 - 13
y = 29
Then for -3 we simply x by -3 to find y
y = 7 x -3 -13
y = -21 - 13
y = -34
then for 1 we simply x by 1 to find y
y = 7 x 1 -13
y = 7 - 13
y = -6
y = 7x - 13
Step 1) Set above equation equal to 0 by remembering the methods;
Solve y-7x+13 = 0
Step 2) Calculate the y intercept;
Notice that when x = 0 the value of y is -13/1 so this line "cuts" the y axis at y=-13.00000 see attached to help memorize.
Step 3) Calculate the X-Intercept :
When y = 0 the value of x is 13/7 Our line therefore "cuts" the x axis at x= 1.85714
Step 4) Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - (-13.000) = 14.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 14.000/2.000 = 7.000
As seen below.
x-intercept = 13/7 = 1.85714
slope = 14000/2000 = 7000
x intercept = 13/7 = 1.85714
y intercept = 13/1 = 13.00000
find the value of x
PLEASE HELP!!!
Hallar dos números que sumen 18 y que su producto sea máximo.
The two numbers that add up to 18 and have the maximum product are 9 and 9.
How to find the two numbers?We want to find two numbers that add up to 18 and that have the maximum product.
If the two numbers are X and Y:
The product is P = X*Y
And the sum must be:
X + Y = 18
Then we can write:
X = 18 - Y
Replacing that in the product we will get:
P = (Y - 18)*Y
So we have a quadratic.
Notice that the zeros are at Y = 0 and Y = 18, then the maximum is at the vertex Y = (0 + 18)/2 = 9
Then the value of X must be:
X = 18 - 9 = 18 - 9 = 9
The two values are 9.
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Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
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Simplify this expression:2x + 3 – (5 – 6x).
Answer:
8x - 2
Step-by-step explanation:
2x + 3 - (5 - 6x) ← distribute parenthesis by - 1
= 2x + 3 - 5 + 6x ← collect like terms
= (2x + 6x) + (3 - 5)
= 8x + (- 2)
= 8x - 2
The table shows
the temperatures of the water in
14 different beakers. What is the average
temperature, rounded to the nearest tenth
of a degree?
Answer:54
Step-by-step explanation:
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
A card is selected at random from a standard 52-card deck. (a) What is the probability that it is an ace
Answer:
4/52 = 1/13
Step-by-step explanation:
sally used all of the paint shown below to make a certain tint of orange paint.
Answer:
We can't see the paint, and what's the question?
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Is a dilated segment still a segment ?
Answer:
Still a segment
Step-by-step explanation:
When a segment is dilated by a scale factor of r = 1, then the segment and its image would be the same length. When the points P and Q are on a line containing the center, then the dilated points P' and Q' will also be col linear with the center producing an image of the segment that is a segment.
What expression is equal to -8(4y)
Answer:
32y
Step-by-step explanation:
take off the y then do the equation -8×4=32 then put the y back on an theres your answer
MNO and MPO are isosceles triangles. Find angle t
Answer:
t = 20°
Step-by-step explanation:
Recall that the base angles of an isosceles ∆ are equal to each other.
This means that:
<NMO and <NOM of ∆MNO are congruent to each other.
Thus,
m<NMO = ½(180 - m<N) = ½(180 - 70)
m<NMO = ½(110)
m<NMO = 55°
Also, <PMO and <POM are congruent to each other. Thus:
m<PMO = ½(180 - m<P) = ½(180 - 110)
m<PMO = ½(70)
m<PMO = 35°
Therefore,
m<NMO = t + m<PMO (angle addition postulate)
55° = t + 35° (substitution)
Subtract 35 from each side
55° - 35° = t
20° = t
t = 20°
Alice’s chicken coop (cage) has a total volume of 758 cubic feet (ft3). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to m3.
the volume of Alice's chicken coop in cubic meters is approximately 21.46 m³.
what is volume ?
Volume refers to the amount of space that an object or substance occupies in three-dimensional space. It is typically measured in cubic units, such as cubic meters (m³) or cubic feet (ft³), and is calculated by multiplying the length, width, and height of the object
In the given question,
To convert 758 cubic feet to cubic meters, we need to use the conversion factor:
1 ft³ = 0.3048³ m³
We can then multiply the volume in cubic feet by this conversion factor to get the volume in cubic meters:
758 ft³ × (0.3048 m/ft)³ = 21.46 m³ (rounded to two decimal places)
Therefore, the volume of Alice's chicken coop in cubic meters is approximately 21.46 m³.
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2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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i need help on thissss
Answer:
Below
Step-by-step explanation:
12:10 PM - ( 1 + 1 ) hr = 10:10 AM then subtract the 40 min to get 9:30 AM
2. Zandile invests her Christmas bonus for R 875.00 in a bank that offers
interest rates of 9% p.a. compounded half-yearly. How much interest will she
have earned after 6 years? I want the interest
After 6 years, Zandile earns an interest of rupees 608.9 after investing her Christmas bonus for R 875.00 in a bank that offers interest rates of 9% p.a. compounded half-yearly.
What is interest?The simplest way to calculate interest is as a percentage of the principal. For instance, if you agreed to borrow $100 from a friend with 5% interest, the interest you would pay would only be 5% of $100: $100(0.05) = $5.
What is compound interest?Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The principal (original) sum and the interest that has already accrued over the course of previous periods are used to calculate compound interest.
Here,
Principal amount= 875
Rate of interest= 9% pa
Compounding= half-yearly (2/year)
Time= 6 years
A = P(1 + r/n)ⁿᵇ
A=final amount
P=initial principal balance
r=interest rate
n=number of times interest applied per time period
b=number of time periods elapsed
A=875(1+9/6)⁶*²
A=₹1,483.90
Zandile invests her Christmas bonus of R 875.00 in a bank that offers interest rates of 9% per year compounded semi-annually, and after 6 years, she earns an interest of Rs 608.99.
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-2 x + 4 > -4x + 8. helppp
Answer:
1/2 but unsure
Step-by-step explanation:
I solved for X and I got 1/2 I want to verify what you are solving for so I could further help you
x = 13, ¿cuál ecuación es verdadera?
3(18 - x) = 67
4(9x) = 23
2(x-3)=7
5(x-9) = 20
When x = 13, the equation that is true is option D) 5(x - 9) = 20.
To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:
A) 3(18 - x) = 67
Substituting x = 13:
3(18 - 13) = 67
3(5) = 67
15 = 67
The equation is not true when x = 13. Therefore, option A is false.
B) 4(9x) = 23
Substituting x = 13:
4(9*13) = 23
4(117) = 23
468 = 23
Again, the equation is not true when x = 13. Therefore, option B is also false.
C) 2(x - 3) = 7
Substituting x = 13:
2(13 - 3) = 7
2(10) = 7
20 = 7
Once again, the equation is not true when x = 13. Therefore, option C is false as well.
D) 5(x - 9) = 20
Substituting x = 13:
5(13 - 9) = 20
5(4) = 20
20 = 20
Finally, the equation is true when x = 13. Therefore, option D is true.
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Note: the translated questions is
X = 13, which equation is true?
21 = 7 + 4f what is f
Answer:
f= 3.5
Step-by-step explanation:
Look at attachment for further explanation
Hope this helps (:
Lewis directs the school marching band. He uses scale drawings of the football field to design marching formations for the band. The football
field is 100 yards long and 53 yards wide. Lewis always uses a scale of 1 inch to 10 yards for his drawings.
Complete the steps below to find the length and width of the football field as it appears in one of Lewis's scale drawings.
Aa
Part A
What is the actual area of the football field? Assume that the field is shaped like a rectangle.
Answer:
Actual area of the field = l×b
=100×531/3 sq. yards
=100×177 sq. yards
= 17700 sq. yards
Step-by-step explanation:
pls mark brainliest
HELP!
Question 1
Which other expression has the same value as (-7) – 2?
O(-7)+2
07- (-2)
07+(-2)
O (-7)+(-2)
.
Question 2
Answer:
(-7)+(-2)
Step-by-step explanation:
Which other expression has the same value as (-7) – 2?
The expression given :
(-7) – 2 = - 7 - 2 = - 9
To obtain our answer, we find the result of the expressions given in the option :
(-7)+2 = - 7 + 2 = - 5
7- (-2) = 7 - - 2 = 7 + 2 = 9
7+(-2) = 7 - 2 = 5
(-7)+(-2) = - 7 + - 2 = - 7 - 2 = - 9
Only option D gives the same result as the result of the expression given ; hence, our answer is option D
Angles of evevation and depression
Find y.
Round to the nearest tenth:
w
28°
х
350 Ft
y
y = [? ]ft
Can someone help me real quick
Answer:
You are given 3 similar candy bars and are told that they altogether weigh less that 15 grams
The solution of the inequality, x < 5 tells us that the mass of each candy bar is less than 5 grams
1/2 ^1/2 please show the steps
The value of \((\frac{1}{2} )^{\frac{1}{2} }\) is 0.707.
1÷2 = 0.5
Given, \((\frac{1}{2} )^{\frac{1}{2} }\)
Could be written like, \((0.5)^{0.5}\) or √(1 ÷ 2) or √(0.5)
So the value of √(0.5) is 0.707.
Another way is to factorize each integer as the product of its primes using the square root prime factorization method. Follow these methods to find the square root of a certain number using prime factorization:
Step 1: Divide the supplied integer by its decimal equivalent.
Step 2: If the connected components are identical, a pair is generated.
Step 3: Choose one of the pair members for her.
Step 4: Multiply the prime numbers you got by picking one from each pair.
Step 5: This product is the square root of the specified number.
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What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
MATH please solve it now and let it be correct please
The value of X is (\((A-CB)^{-1}\) CD.
Given,
AX\((D+BX)^{-1}\) = C
Multiply both sides on the right by (D+BX):
AX\((D+BX)^{-1}\) × (D+BX) = C × (D+BX)
AX (\((D+BX)^{-1}\) (D+BX)) = C(D+BX)
AX × I = CD + CBX
AX = CD + CBX
Subtract CBX on both sides and factor:
AX – CBX = (CD + CBX) – CBX
AX – CBX = CD + (CBX – CBX)
AX – CBX = CD + 0
(A – CB)X = CD.
Multiply both sides on the left by \((A-CB)^{-1}\) :
(\((A-CB)^{-1}\) × (A – CB)X = (\((A-CB)^{-1}\) × CD
(\((A-CB)^{-1}\) × (A – CB)) X = (\((A-CB)^{-1}\) CD
IX = (\((A-CB)^{-1}\) CD
X = (\((A-CB)^{-1}\) CD.
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